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4146164 = 22111723241
BaseRepresentation
bin1111110100001111110100
321210122110122
433310033310
52030134124
6224511112
750145641
oct17641764
97718418
104146164
112382090
12147b498
13b22269
1479cdc8
1556d75e
hex3f43f4

4146164 has 48 divisors (see below), whose sum is σ = 8781696. Its totient is φ = 1689600.

The previous prime is 4146139. The next prime is 4146173. The reversal of 4146164 is 4616414.

4146164 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17084 + ... + 17324.

It is an arithmetic number, because the mean of its divisors is an integer number (182952).

Almost surely, 24146164 is an apocalyptic number.

4146164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4146164 is an abundant number, since it is smaller than the sum of its proper divisors (4635532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4146164 is a wasteful number, since it uses less digits than its factorization.

4146164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 294 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 4146164 is about 2036.2131519072. The cubic root of 4146164 is about 160.6505285773.

The spelling of 4146164 in words is "four million, one hundred forty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 11 17 22 23 34 44 46 68 92 187 241 253 374 391 482 506 748 782 964 1012 1564 2651 4097 4301 5302 5543 8194 8602 10604 11086 16388 17204 22172 45067 60973 90134 94231 121946 180268 188462 243892 376924 1036541 2073082 4146164